Finite element methods for parabolic optimal boundary control
problems and related boundary value problems

Konstantinos Qchrysafinos
Departments of Mathematical Sciences, Carnegie Mellon University

Abstract: We cosinder optimal Dirichlet control problems for parabolic
partial differential equations. We discuss some issues concerning the
existence of optimal solutions and the finite element approximation of
the corresponding optimality system. Furthermore, we present a penalized
approach which appears to be more attractive from the computational point
of view. Finally, we discuss some related boundary value problems.